# zbMATH — the first resource for mathematics

## Studies in Applied Mathematics

 Short Title: Stud. Appl. Math. Publisher: Wiley (Wiley-Blackwell), Hoboken, NJ ISSN: 0022-2526; 1467-9590/e Online: http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590/issues Predecessor: Journal of Mathematics and Physics Comments: Indexed cover-to-cover; Journal abbreviations vary in sources of the older volumes
 Documents Indexed: 1,594 Publications (since 1969) References Indexed: 1,158 Publications with 23,347 References.
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#### Latest Issues

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#### Authors

 43 Ablowitz, Mark Jay 39 Grimshaw, Roger Hamilton James 34 Benney, David J. 28 Yang, Jianke 24 Wan, Frederic Yui-Ming 22 Moodie, T. Bryant 20 Kleitman, Daniel J. 19 Fokas, Athanassios S. 19 Milewski, Paul A. 19 Saffman, Philip Geoffrey 18 Rogers, Colin 17 Sachdev, P. L. 17 Ward, Michael J. 16 Knessl, Charles 14 Akylas, T. R. 14 Clarkson, Peter A. 14 Rosales, Rodolfo Ruben 14 Wong, Roderick Sue-Chuen 13 Schief, Wolfgang Karl 12 Greenspan, Harvey P. 12 Maslowe, Sherwin A. 11 Biondini, Gino 11 Haberman, Richard 11 Mayil Vaganan, B. 11 Yeh, Yeong-Nan 10 Howard, Louis N. 10 Kaup, David J. 10 Lange, Charles G. 10 Pelinovsky, Dmitry Efimovich 10 Reissner, Eric 9 Konopelchenko, Boris Georgievich 9 Majda, Andrew J. 8 Bassom, Andrew P. 8 Bridges, Thomas J. 8 Cosgrove, Christopher M. 8 Fowler, Andrew C. 8 Howes, Frederick A. 8 Joshi, Nalini 8 O’Malley, Robert E. jun. 8 Prinari, Barbara 8 Swaters, Gordon E. 8 Trione, Susana Elena 8 Villarroel, Javier 7 Choi, Wooyoung 7 Hall, Philip 7 Ranger, Keith B. 7 Segur, Harvey 7 Sharma, Vishnu D. 7 Tenenblat, Keti 7 Verde-Star, Luis 6 Byatt-Smith, John G. B. 6 Fan, Engui 6 Galaktionov, Victor Aleksandrovich 6 He, Yuanping 6 Keller, Joseph Bishop 6 López, José Luis 6 Lou, Senyue 6 Ma, Yan-Chow 6 Newell, Alan C. 6 Ohta, Yasuhiro 6 Pascal, Jean-Paul 6 Rao, Chidella Srinivasa 6 Rosenblat, S. 6 Rota, Gian-Carlo 6 Srivastava, Hari Mohan 6 Temme, Nico M. 6 Varley, Eric 6 Wei, Juncheng 5 An, Hongli 5 Beals, Richard W. 5 Cohen, Donald Sussman 5 Criminale, William O. jun. 5 Deconinck, Bernard 5 Dunster, T. M. 5 El, Gennady A. 5 Feng, Baofeng 5 Goulden, Ian P. 5 Hoefer, Mark A. 5 Jackson, David M. 5 Johnson, Mathew A. 5 Kath, William L. 5 Li, Y. Charles 5 Minzoni, Antonmaria Alessio 5 Nixon, Sean D. 5 Orszag, Steven Alan 5 Qu, Changzheng 5 Seymour, Brian R. 5 Shearer, James B. 5 Stanley, Richard Peter 5 Stepanyants, Yury A. 5 Straughan, Brian 5 Turkyilmazoglu, Mustafa 5 Zhang, Dajun 5 Zhao, Yuqiu 4 Akers, Benjamin F. 4 Amundsen, David E. 4 Barouch, Eytan 4 Błaszak, Maciej 4 Boyd, John Philip 4 Chen, Yang ...and 1,426 more Authors
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#### Fields

 714 Partial differential equations (35-XX) 572 Fluid mechanics (76-XX) 200 Ordinary differential equations (34-XX) 196 Dynamical systems and ergodic theory (37-XX) 112 Combinatorics (05-XX) 105 Numerical analysis (65-XX) 83 Special functions (33-XX) 67 Geophysics (86-XX) 59 Mechanics of deformable solids (74-XX) 53 Biology and other natural sciences (92-XX) 42 Probability theory and stochastic processes (60-XX) 42 Optics, electromagnetic theory (78-XX) 41 Quantum theory (81-XX) 35 Statistical mechanics, structure of matter (82-XX) 34 Mechanics of particles and systems (70-XX) 28 Approximations and expansions (41-XX) 23 Number theory (11-XX) 23 Classical thermodynamics, heat transfer (80-XX) 22 Integral equations (45-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Difference and functional equations (39-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 15 Integral transforms, operational calculus (44-XX) 15 Operator theory (47-XX) 15 Differential geometry (53-XX) 15 Systems theory; control (93-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 General and overarching topics; collections (00-XX) 12 Functions of a complex variable (30-XX) 12 Functional analysis (46-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 9 Group theory and generalizations (20-XX) 9 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Algebraic geometry (14-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 6 Nonassociative rings and algebras (17-XX) 6 Information and communication theory, circuits (94-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)

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1,270 Publications have been cited 14,608 times in 11,226 Documents Cited by Year
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1974
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
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1977
On the boundary condition at the surface of a porous medium. Zbl 0271.76080
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1971
Models for the growth of a solid tumor by diffusion. Zbl 0257.92001
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1972
A proposal for Toeplitz matrix calculations. Zbl 0621.65025
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1986
Coalgebras and bialgebras in combinatorics. Zbl 0471.05020
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On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009
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1974
Wave instabilities. Zbl 0216.52904
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1969
Plane wave solutions to reaction-diffusion equations. Zbl 0305.35081
Kopell, N.; Howard, L. N.
1973
A general theory for interactions between short and long waves. Zbl 0358.76011
Benney, D. J.
1977
A nonlinear difference scheme and inverse scattering. Zbl 0338.35002
Ablowitz, M. J.; Ladik, J. F.
1976
The upper bound conjecture and Cohen-Macaulay rings. Zbl 0308.52009
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1975
A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. Zbl 0274.35041
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1973
Numerical simulation of incompressible flows within simple boundaries. I: Galerkin (spectral) representations. Zbl 0237.76012
Orszag, Steven A.
1971
On the inverse scattering problem for cubic eigenvalue problems of the class $$\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi$$. Zbl 0431.35073
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1980
On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303
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1970
Symmetries and integrability. Zbl 0639.35075
Fokas, A. S.
1987
Theory and application of plane partitions. II. Zbl 0225.05012
Stanley, Richard P.
1971
A new class of nonlinear waves in parallel flows. Zbl 0197.25403
Benney, D. J.; Bergeron, R. F. jun.
1969
Integrable nonlocal nonlinear equations. Zbl 1373.35281
Ablowitz, Mark J.; Musslimani, Ziad H.
2017
Some properties of long nonlinear waves. Zbl 0259.35011
Benney, D. J.
1973
The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031
Fokas, A. S.; Ablowitz, M. J.
1983
The perturbed plane-wave solutions of the cubic Schrödinger equation. Zbl 0412.35028
Ma, Yan-Chow
1979
On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080
Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S.
1983
Weak and strong interactions between internal solitary waves. Zbl 0548.76020
Gear, J. A.; Grimshaw, R.
1984
On one-dimensional large-displacement finite-strain beam theory. Zbl 0267.73032
Reissner, E.
1973
The velocity of viscous vortex rings. Zbl 0224.76032
Saffman, P. G.
1970
Theory and application of plane partitions. I. Zbl 0225.05011
Stanley, Richard P.
1971
Asymptotic solutions of the Korteweg-deVries equation. Zbl 0369.35055
Ablowitz, M. J.; Segur, H.
1977
Pseudospherical surfaces and evolution equations. Zbl 0605.35080
Chern, S. S.; Tenenblat, K.
1986
Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023
Chen, B.; Saffman, P. G.
1980
The periodic cubic Schrödinger equation. Zbl 0493.35032
Ma, Yan-Chow; Ablowitz, Mark J.
1981
Higher-order Painlevé equations in the polynomial class. I: Bureau symbol P2. Zbl 1136.34350
Cosgrove, Christopher M.
2000
Critical layers in parallel flows. Zbl 0265.76052
Haberman, Richard
1972
Rational solutions of Painleve equations. Zbl 0496.58012
Airault, H.
1979
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
1984
A frequency selection criterion in spatially developing flows. Zbl 0716.76041
Chomaz, Jean-Marc; Huerre, Patrick; Redekopp, Larry G.
1991
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
1979
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
Convergence and continuous dependence for the Brinkman-Forchheimer equations. Zbl 1136.76448
Payne, L. E.; Straughan, B.
1999
The modulation of an internal gravity-wave packet, and the resonance with the mean motion. Zbl 0361.76029
Grimshaw, R. H. J.
1977
Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Zbl 0838.76026
Waleffe, Fabian
1995
Fourier analysis of the finite element method in Ritz-Galerkin theory. Zbl 0179.22501
Fix, G.; Strang, G.
1969
Induced surfaces and their integrable dynamics. Zbl 0869.58027
Konopelchenko, B. G.
1996
Asymptotic representation of solutions of perturbed systems of linear difference equations. Zbl 0628.39002
Benzaid, Z.; Lutz, D. A.
1987
On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079
Fokas, A. S.; Ablowitz, M. J.
1983
On the inviscid theory of rotating fluids. Zbl 0181.54303
Greenspan, H. P.
1969
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
1970
On equations which describe pseudospherical surfaces. Zbl 0696.35111
Rabelo, Mauro L.
1989
Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059
Beals, Richard; Rabelo, Mauro; Tenenblat, Keti
1989
On the solution of a class of nonlinear partial difference equations. Zbl 0384.35018
Ablowitz, M. J.; Ladik, J. F.
1977
Unsolvability in $$3 \times 3$$ matrices. Zbl 0186.01103
Paterson, Michael S.
1970
Rational and semirational solutions of the nonlocal Davey-Stewartson equations. Zbl 1382.35250
Rao, J.; Cheng, Y.; He, J.
2017
Dynamics of perturbed wavetrain solutions to the Ginzburg-Landau equation. Zbl 0575.76055
Keefe, Laurence R.
1985
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
1980
The evolution of multi-phase modes for nonlinear dispersive waves. Zbl 0203.41001
Ablowitz, M. J.; Benney, D. J.
1970
On solutions to a two-component generalized Camassa-Holm equation. Zbl 1189.35255
Guo, Zhengguang; Zhou, Yong
2010
Steady deep-water waves on a linear shear current. Zbl 0572.76022
Simmen, J. A.; Saffman, P. G.
1985
Perturbations of solitons and solitary waves. Zbl 0486.76029
Kodama, Yuji; Ablowitz, Mark J.
1981
Soliton solutions of the KP equation and application to shallow water waves. Zbl 1185.35219
Chakravarty, S.; Kodama, Y.
2009
Asymptotics beyond all orders in a model of crystal growth. Zbl 0732.34047
Kruskal, Martin D.; Segur, Harvey
1991
Denert’s permutation statistic is indeed Euler-Mahonian. Zbl 0738.05001
Foata, Dominique; Zeilberger, Doron
1990
Evolution equations for weakly nonlinear, long internal waves in a rotating fluid. Zbl 0572.76102
Grimshaw, R.
1985
On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy. Zbl 0274.05008
Doubilet, Peter
1972
High-order solutions and generalized Darboux transformations of derivative nonlinear Schrödinger equations. Zbl 1303.35098
Guo, Boling; Ling, Liming; Liu, Q. P.
2013
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
1986
The complete solution of the long-wave-short-wave resonance equations. Zbl 0399.76028
Ma, Yan-Chow
1978
Activators and inhibitors in pattern formation. Zbl 0407.92023
Keener, James P.
1978
Marginal separation. Zbl 0514.76039
Stewartson, Keith; Smith, F. T.; Kaups, Kalle
1982
Continuous dependence on the heat source in resonant porous penetrative convection. Zbl 1250.80001
Straughan, B.
2011
Consistent Riccati expansion for integrable systems. Zbl 1314.35145
Lou, S. Y.
2015
Group classification and generalized conditional symmetry reduction of the nonlinear diffusion-convection equation with a nonlinear source. Zbl 0879.35031
Qu, Changzheng
1997
Slowly varying waves and shock structures in reaction-diffusion equations. Zbl 0349.35070
Howard, L. N.; Kopell, N.
1977
Boundary layer problems exhibiting resonance. Zbl 0198.12901
Ackerberg, R. C.; O’Malley, Robert E. jun.
1970
General $$N$$-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
2011
Painlevé classification of a class of differential equations of the second order and second degree. Zbl 0774.34005
Cosgrove, Christopher M.; Scoufis, George
1993
$$P_ 4$$-reducible graphs - a class of uniquely tree-representable graphs. Zbl 0699.05054
Jamison, B.; Olariu, S.
1989
Averaged equations for two-phase flows. Zbl 0225.76051
Drew, Donald A.; Segel, Lee A.
1971
Contour enhancement, short term memory, and constancies in reverberating neural networks. Zbl 0281.92005
Grossberg, Stephen
1973
Series solutions of unsteady boundary-layer flows over a stretching flat plate. Zbl 1145.76352
Liao, Shijun
2006
The existence and stability of asymmetric spike patterns for the Schnakenberg model. Zbl 1152.35397
Ward, Michael J.; Wei, Juncheng
2002
On the existence and formulation of variational principles for nonlinear differential equations. Zbl 0322.49019
Atherton, R. W.; Homsy, G. M.
1975
The evolution in space and time of nonlinear waves in parallel shear flows. Zbl 0332.76028
Benney, D. J.; Maslowe, S. A.
1975
Stability, steady-state bifurcations, and Turing patterns in a predator-prey model with herd behavior and prey-taxis. Zbl 1373.35324
Song, Yongli; Tang, Xiaosong
2017
A new mechanism for linear and nonlinear hydrodynamic instability. Zbl 0481.76048
Benney, D. J.; Gustavsson, L. Hakan
1981
Comparison of pseudospectral and spectral approximation. Zbl 0282.65083
Orszag, Steven A.
1972
A multidimensional inverse-scattering method. Zbl 0557.35032
Nachman, Adrian I.; Ablowitz, Mark J.
1984
On the spectrum and decay of random two-dimensional vorticity distributions at large Reynolds number. Zbl 0237.76029
Saffman, P. G.
1971
The evolution of a nonlinear critical level. Zbl 0415.76020
Warn, T.; Warn, H.
1978
On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395
Joshi, Nalini; Kitaev, A. V.
2001
The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: The low feed-rate regime. Zbl 1145.65328
Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng
2005
The inverse scattering transform for the defocusing nonlinear Schrödinger equations with nonzero boundary conditions. Zbl 1311.35277
Demontis, F.; Prinari, B.; van der Mee, C.; Vitale, F.
2013
Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135
Fokas, A. S.; Ablowitz, M. J.
1989
Low Mach number limit of viscous polytropic flows: formal asymptotics in the periodic case. Zbl 1114.76347
Bresch, D.; Desjardins, B.; Grenier, E.; Lin, C. -K.
2002
On the settling speed of free and fixed suspensions. Zbl 0264.76077
Saffman, P. G.
1973
An affine representation for transversal geometries. Zbl 0309.05018
Brylawski, Thomas H.
1975
Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Zbl 0843.76008
Gilman, O. A.; Grimshaw, R.; Stepanyants, Yu. A.
1995
On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002
Andrews, George E.
1971
Evolution equations for long, nonlinear internal waves in stratified shear flows. Zbl 0492.76035
Grimshaw, R.
1981
Weight enumeration and the geometry of linear codes. Zbl 0331.05019
Greene, Curtis
1976
Uniform error estimates for the random batch method to the first-order consensus models with antisymmetric interaction kernels. Zbl 1467.82056
Ko, Dongnam; Ha, Seung-Yeal; Jin, Shi; Kim, Doheon
2021
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials. Zbl 1466.05027
Charlier, Christophe
2021
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems. Zbl 1472.82002
Lyu, Shulin; Chen, Yang
2021
Commutativity of quaternion-matrix-valued functions and quaternion matrix dynamic equations on time scales. Zbl 1472.34164
Li, Zhien; Wang, Chao; Agarwal, Ravi P.; O&rsquo;Regan, Donal
2021
The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. I. Permanent form traveling waves. Zbl 1467.35088
Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra
2021
The evolution of traveling waves in a KPP reaction-diffusion model with cut-off reaction rate. II. Evolution of traveling waves. Zbl 1467.35089
Tisbury, Alex D. O.; Needham, David J.; Tzella, Alexandra
2021
Improved finite-time zeroing neural network for time-varying division. Zbl 1467.93132
Gerontitis, Dimitris; Behera, Ratikanta; Sahoo, Jajati Keshari; Stanimirović, Predrag S.
2021
Exact analytical solution of a novel modified nonlinear Schrödinger equation: solitary quantum waves on a lattice. Zbl 1466.81013
Luo, Jingxi
2021
A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes. Zbl 1467.92195
Escobar-Lasso, Oscar Eduardo; Vasilieva, Olga
2021
Analyticity of rotational traveling gravity two-layer waves. Zbl 1466.76014
Chu, Jifeng; Wang, Ling-Jun
2021
Local symmetry structure and potential symmetries of time-fractional partial differential equations. Zbl 1471.35013
Zhang, Zhi-Yong; Lin, Zhi-Xiang
2021
Differential, difference, and asymptotic relations for Pollaczek-Jacobi type orthogonal polynomials and their Hankel determinants. Zbl 1471.42059
Min, Chao; Chen, Yang
2021
Uniform (very) sharp bounds for ratios of parabolic cylinder functions. Zbl 07405483
Segura, Javier
2021
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo
2020
Coefficients of Wronskian Hermite polynomials. Zbl 1442.05016
Bonneux, Niels; Dunning, Clare; Stevens, Marco
2020
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084
Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2020
Multi-breather and high-order rogue waves for the nonlinear Schrödinger equation on the elliptic function background. Zbl 1454.35338
Feng, Bao-Feng; Ling, Liming; Takahashi, Daisuke A.
2020
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
2020
Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies. Zbl 1454.35348
Ma, Wen-Xiu; Huang, Yehui; Wang, Fudong
2020
The regularity of the multiple higher-order poles solitons of the NLS equation. Zbl 07288993
Zhang, Yongshuai; Tao, Xiangxing; Yao, Tengteng; He, Jingsong
2020
Sparse spectral and $$p$$-finite element methods for partial differential equations on disk slices and trapeziums. Zbl 1452.65376
Snowball, Ben; Olver, Sheehan
2020
General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. Zbl 1454.37066
Li, Ming; Fu, Heming; Wu, Chengfa
2020
The complex Hamiltonian systems and quasi-periodic solutions in the derivative nonlinear Schrödinger equations. Zbl 1452.35180
Chen, Jinbing; Zhang, Runsu
2020
General soliton solutions to a reverse-time nonlocal nonlinear Schrödinger equation. Zbl 1452.35198
Ye, Rusuo; Zhang, Yi
2020
Linear and nonlinear electromagnetic waves in modulated honeycomb media. Zbl 1454.35372
Hu, Pipi; Hong, Liu; Zhu, Yi
2020
Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285
Johnson, Mathew A.; Wright, J. Douglas
2020
Optimal control of dengue epidemic outbreaks under limited resources. Zbl 1453.92195
Sepulveda-Salcedo, Lilian Sofia; Vasilieva, Olga; Svinin, Mikhail
2020
Bifurcations of autoresonant modes in oscillating systems with combined excitation. Zbl 1461.34058
Sultanov, Oskar A.
2020
Development and analysis of a malaria transmission mathematical model with seasonal mosquito life-history traits. Zbl 1455.92132
Djidjou-Demasse, Ramsés; Abiodun, Gbenga J.; Adeola, Abiodun M.; Botai, Joel O.
2020
Three computational approaches to weakly nonlocal Poisson brackets. Zbl 07265661
Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele
2020
Fronts in two-phase porous media flow problems: the effects of hysteresis and dynamic capillarity. Zbl 1454.76094
Mitra, K.; Köppl, T.; Pop, I. S.; van Duijn, C. J.; Helmig, R.
2020
Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painlevé II equation. Zbl 1457.34129
Kokocki, Piotr
2020
Numerical study of the transverse stability of the Peregrine solution. Zbl 1452.65276
Klein, Christian; Stoilov, Nikola
2020
Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems. Zbl 1452.35095
Aggarwal, Aekta; Sahoo, Manas Ranjan; Sen, Abhrojyoti; Vaidya, Ganesh
2020
A Davey-Stewartson description of two-dimensional solitons in nonlocal media. Zbl 1454.35342
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P.
2020
Asymptotic solutions of inhomogeneous differential equations having a turning point. Zbl 1457.34126
Dunster, T. M.
2020
Quasi-stability and upper semicontinuity for coupled parabolic equations with memory. Zbl 1459.37065
Aouadi, Moncef
2020
Stable blow-up dynamics in the $$L^2$$-critical and $$L^2$$-supercritical generalized Hartree equation. Zbl 1455.35031
Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang
2020
Stokes waves with constant vorticity: I. Numerical computation. Zbl 1420.35208
Dyachenko, Sergey A.; Hur, Vera Mikyoung
2019
Prohibitions caused by nonlocality for nonlocal Boussinesq-KdV type systems. Zbl 1423.35313
Lou, S. Y.
2019
Modulational instability in a full-dispersion shallow water model. Zbl 1420.35241
Hur, Vera Mikyoung; Pandey, Ashish Kumar
2019
Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves. Zbl 1418.35305
Hoefer, Mark A.; Smyth, Noel F.; Sprenger, Patrick
2019
Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”. Zbl 1418.35321
Bridges, Thomas J.; Ratliff, Daniel J.
2019
On Möbius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative. Zbl 1423.35335
Euler, Marianna; Euler, Norbert
2019
A Lie symmetry analysis and explicit solutions of the two-dimensional $$\infty$$-polylaplacian. Zbl 1420.35401
Papamikos, Georgios; Pryer, Tristan
2019
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation. Zbl 1418.35335
Dhaouadi, Firas; Favrie, Nicolas; Gavrilyuk, Sergey
2019
Finite-size corrections at the hard edge for the Laguerre $$\beta$$ ensemble. Zbl 1452.15025
Forrester, Peter J.; Trinh, Allan K.
2019
The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025
Chen, Min; Chen, Yang; Fan, En-Gui
2019
Stability of periodic traveling flexural-gravity waves in two dimensions. Zbl 1420.35218
Trichtchenko, Olga; Milewski, Paul; Părău, Emilian; Vanden-Broeck, Jean-Marc
2019
Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line. Zbl 1420.35388
Zhang, Cheng
2019
On the Whitham system for the radial nonlinear Schrödinger equation. Zbl 1418.35332
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor
2019
Generalized solitary waves in a finite-difference Korteweg-De Vries equation. Zbl 1418.35324
Joshi, N.; Lustri, C. J.
2019
Rotational waves generated by current-topography interaction. Zbl 1418.35303
Flamarion, Marcelo V.; Milewski, Paul A.; Nachbin, André
2019
Three-layer flows in the shallow water limit. Zbl 1418.35315
Viríssimo, Francisco De Melo; Milewski, Paul A.
2019
On resonant interactions of gravity-capillary waves without energy exchange. Zbl 1418.35302
Chabane, Malik; Choi, Wooyoung
2019
D’Alembert-type solution of the Cauchy problem for the Boussinesq-Klein-Gordon equation. Zbl 1418.35306
Khusnutdinova, Karima R.; Tranter, Matthew R.
2019
Riemann-Hilbert problem and matrix discrete Painlevé II systems. Zbl 1451.35099
Cassatella-Contra, Giovanni A.; Mañas, Manuel
2019
Invariant discrete flows. Zbl 1423.35333
Benson, Joseph; Valiquette, Francis
2019
Initial conditions for the cylindrical Korteweg-de Vries equation. Zbl 1423.35341
Grimshaw, Roger
2019
Flux singularities in multiphase wavetrains and the Kadomtsev-Petviashvili equation with applications to stratified hydrodynamics. Zbl 1420.35324
Ratliff, Daniel J.
2019
Discrete and continuous coupled nonlinear integrable systems via the dressing method. Zbl 1420.35342
Biondini, Gino; Wang, Qiao
2019
Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure. Zbl 1418.35334
Congy, T.; El, G. A.; Hoefer, M. A.; Shearer, M.
2019
On the optimal focusing of solitons and breathers in long-wave models. Zbl 1418.35331
Slunyaev, Alexey
2019
On mean flow generation due to oblique reflection of internal waves at a slope. Zbl 1418.35296
Kataoka, Takeshi; Akylas, T. R.
2019
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. Zbl 1418.35314
Stepanyants, Yury
2019
Interfacial long traveling waves in a two-layer fluid with variable depth. Zbl 1418.35309
Pelinovsky, Efim; Talipova, Tatiana; Didenkulova, Ira; Didenkulova(Shurgalina), Ekaterina
2019
Multi-dimensional conservation laws and integrable systems. Zbl 1448.35405
Makridin, Zakhar V.; Pavlov, Maxim V.
2019
A coefficient identification problem for a mathematical model related to ductal carcinoma in Situ. Zbl 1448.35524
Wu, Bin; Chen, Qun; Yu, Jun; Wang, Zewen
2019
Construction of solutions of the defocusing nonlinear Schrödinger equation with asymptotically time-periodic boundary values. Zbl 1448.35468
Fromm, Samuel
2019
Solutions of nonlocal equations reduced from the AKNS hierarchy. Zbl 1398.35194
Chen, Kui; Deng, Xiao; Lou, Senyue; Zhang, Da-jun
2018
Transformations between nonlocal and local integrable equations. Zbl 1392.35297
Yang, Bo; Yang, Jianke
2018
On Whitham and related equations. Zbl 1393.35208
Klein, Christian; Linares, Felipe; Pilod, Didier; Saut, Jean-Claude
2018
Darboux transformations and global explicit solutions for nonlocal Davey-Stewartson I equation. Zbl 1401.35262
Zhou, Zi-Xiang
2018
Linear quaternion differential equations: basic theory and fundamental results. Zbl 1406.34036
Kou, Kit Ian; Xia, Yong-Hui
2018
Reverse space-time nonlocal sine-Gordon/sinh-Gordon equations with nonzero boundary conditions. Zbl 1420.35304
Ablowitz, Mark J.; Feng, Bao-Feng; Luo, Xu-Dan; Musslimani, Ziad H.
2018
Exceptional Laguerre polynomials. Zbl 1408.33019
Bonneux, Niels; Kuijlaars, Arno B. J.
2018
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2018
Interplay between the inverse scattering method and Fokas’s unified transform with an application. Zbl 1388.37073
Caudrelier, Vincent
2018
Gap probability distribution of the Jacobi unitary ensemble: an elementary treatment, from finite $$n$$ to double scaling. Zbl 1388.60030
Min, Chao; Chen, Yang
2018
The generating function for the Airy point process and a system of coupled Painlevé II equations. Zbl 1419.37063
Claeys, Tom; Doeraene, Antoine
2018
Gaussian unitary ensemble with boundary spectrum singularity and $$\sigma$$-form of the Painlevé II equation. Zbl 1388.60033
Wu, Xiao-Bo; Xu, Shuai-Xia; Zhao, Yu-Qiu
2018
Numerical bifurcation and spectral stability of wavetrains in bidirectional Whitham models. Zbl 1401.35250
Claassen, Kyle M.; Johnson, Mathew A.
2018
Dualities in the $$q$$-Askey scheme and degenerate DAHA. Zbl 1408.33032
Koornwinder, Tom H.; Mazzocco, Marta
2018
Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134
Gil, Amparo; Segura, Javier; Temme, Nico M.
2018
Numerical study of blow-up mechanisms for Davey-Stewartson II systems. Zbl 1398.35216
Klein, Christian; Stoilov, Nikola
2018
The derivative yajima-oikawa system: bright, dark soliton and breather solutions. Zbl 1401.35264
Chen, Junchao; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
2018
Rational solutions of the Painlevé-III equation. Zbl 1414.34070
Bothner, Thomas; Miller, Peter D.; Sheng, Yue
2018
Double degeneracy in multiphase modulation and the emergence of the Boussinesq equation. Zbl 1388.35174
Ratliff, Daniel J.
2018
Optimal control for an SEIR epidemic model with nonlinear incidence rate. Zbl 1420.35437
Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
2018
CMV biorthogonal Laurent polynomials: perturbations and Christoffel formulas. Zbl 1391.42030
Ariznabarreta, Gerardo; Mañas, Manuel; Toledano, Alfredo
2018
Inverse scattering transform and solitons for square matrix nonlinear Schrödinger equations. Zbl 1420.35375
Prinari, Barbara; Ortiz, Alyssa K.; van der Mee, Cornelis; Grabowski, Marek
2018
Mass distribution and skewness for passive scalar transport in pipes with polygonal and smooth cross sections. Zbl 1420.35221
Aminian, Manuchehr; Camassa, Roberto; McLaughlin, Richard M.
2018
Algorithms for computing cubatures based on moment theory. Zbl 1409.65009
Collowald, Mathieu; Hubert, Evelyne
2018
Nonlocal and multipoint boundary value problems for linear evolution equations. Zbl 1400.35007
Pelloni, Beatrice; Smith, David Andrew
2018
Hamiltonian structure and a variational principle for grounded abyssal flow on a sloping bottom in a mid-latitude {$$\beta$$}-plane. Zbl 1401.35292
Swaters, Gordon E.
2018
Beta distributions and Sonine integrals for Bessel functions on symmetric cones. Zbl 1408.33005
Rösler, Margit; Voit, Michael
2018
The dynamics of conservative peakons in a family of $$U(1)$$-invariant integrable equations of NLS-Hirota type. Zbl 1412.35296
Anco, Stephen C.; Chang, Xiangke; Szmigielski, Jacek
2018
Stationary expansion shocks for a regularized Boussinesq system. Zbl 1388.35153
El, Gennady A.; Hoefer, Mark A.; Shearer, Michael
2018
Majorizing sequences for nonlinear Fredholm-Hammerstein integral equations. Zbl 1391.45007
Ezquerro, José A.; Hernández-Verón, Miguel A.
2018
Integrable nonlocal nonlinear equations. Zbl 1373.35281
Ablowitz, Mark J.; Musslimani, Ziad H.
2017
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#### Cited by 11,344 Authors

 83 Grimshaw, Roger Hamilton James 66 Ablowitz, Mark Jay 61 Ma, Wen-Xiu 60 Geng, Xianguo 46 Fokas, Athanassios S. 45 Pelinovsky, Dmitry Efimovich 45 Ward, Michael J. 42 Rogers, Colin 37 Tian, Shoufu 36 He, Jingsong 35 Fan, Engui 32 Vanden-Broeck, Jean-Marc 31 Wei, Juncheng 29 Clarkson, Peter A. 28 Kudryashov, Nikolaĭ Alekseevich 27 Akylas, T. R. 27 Bridges, Thomas J. 27 López, José Luis 27 Milewski, Paul A. 27 Wazwaz, Abdul-Majid Abdul-Rahman 26 Benney, David J. 26 Xu, Shihe 25 Calogero, Francesco A. 25 Saffman, Philip Geoffrey 25 Yang, Jianke 24 Biondini, Gino 24 Hall, Philip 24 Qu, Changzheng 24 Sahadevan, Ramajayam 24 Smith, Frank T. 24 Yang, Minbo 24 Zhang, Dajun 23 Dutykh, Denys 23 Schief, Wolfgang Karl 23 Srivastava, Hari Mohan 23 Straughan, Brian 23 Temme, Nico M. 22 Gao, Yitian 22 Majda, Andrew J. 22 Zhang, Tiantian 21 Boyd, John Philip 21 Deconinck, Bernard 21 Santini, Paolo Maria 21 Shen, Shoufeng 21 Wan, Frederic Yui-Ming 21 Wu, Xuesong 20 Chen, William Yong-Chuan 20 Guo, Boling 20 Henningson, Dan S. 20 Konopelchenko, Boris Georgievich 20 Moodie, T. Bryant 20 Qiao, Zhijun 20 Van der Mee, Cornelis Victor Maria 20 Verde-Star, Luis 20 Yan, Zhenya 19 Byrne, Helen Mary 19 El, Gennady A. 19 Grundland, Alfred Michel 19 Joshi, Nalini 19 Reidys, Christian Michael 19 Saut, Jean-Claude 19 Tenenblat, Keti 19 Wen, Xiaoyong 18 Biswas, Anjan 18 Feng, Baofeng 18 Kaup, David J. 18 Klein, Christian 18 Xue, Bo 17 Camassa, Roberto 17 Chow, Kwok Wing 17 Cui, Shangbin 17 Guo, Zhengguang 17 Hur, Vera Mikyoung 17 Johnson, Mathew A. 17 Kolokolnikov, Theodore 17 Lou, Senyue 17 Maslowe, Sherwin A. 17 Miller, Peter D. 17 Rota, Gian-Carlo 17 Sherratt, Jonathan A. 17 Stanley, Richard Peter 17 Tian, Bo 17 Wang, Zhan 16 Bracken, Paul Francis 16 Cheng, Yi 16 Choi, Wooyoung 16 Dias, Frédéric 16 Grinevich, Pëtr Georgievich 16 Jackson, David M. 16 Kung, Joseph P. S. 16 Pempinelli, Flora 16 Pickering, Andrew 16 Winternitz, Pavel 16 Wong, Roderick Sue-Chuen 16 Yuan, Wenjun 15 Boiti, Marco 15 Dias, João-Paulo 15 Doelman, Arjen 15 Gerdzhikov, Vladimir Stefanov 15 Goldstein, Marvin E. ...and 11,244 more Authors
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#### Cited in 690 Journals

 849 Journal of Fluid Mechanics 584 Journal of Mathematical Physics 559 Studies in Applied Mathematics 331 Journal of Mathematical Analysis and Applications 307 Physica D 258 Physics of Fluids 242 Applied Mathematics and Computation 214 Journal of Differential Equations 151 Discrete Mathematics 144 Communications in Nonlinear Science and Numerical Simulation 138 Applied Mathematics Letters 123 Wave Motion 119 Journal of Nonlinear Mathematical Physics 118 Communications in Mathematical Physics 118 Journal of Computational Physics 118 Nonlinear Dynamics 111 Journal of Combinatorial Theory. Series A 110 Journal of Computational and Applied Mathematics 105 Computers & Mathematics with Applications 104 Advances in Mathematics 93 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 93 Advances in Applied Mathematics 91 Chaos, Solitons and Fractals 86 European Journal of Mechanics. B. Fluids 77 Transactions of the American Mathematical Society 77 Chaos 76 ZAMP. Zeitschrift für angewandte Mathematik und Physik 71 Journal of Engineering Mathematics 70 Theoretical and Mathematical Physics 69 Archive for Rational Mechanics and Analysis 67 Linear Algebra and its Applications 65 Mathematical Methods in the Applied Sciences 65 Nonlinearity 65 Nonlinear Analysis. Real World Applications 63 Journal of Geometry and Physics 63 Journal of Nonlinear Science 59 Applicable Analysis 58 European Journal of Combinatorics 55 Acta Mechanica 55 Physics of Fluids 55 Physics Letters. A 54 Computer Methods in Applied Mechanics and Engineering 54 Discrete and Continuous Dynamical Systems 50 Communications on Pure and Applied Mathematics 48 Advances in Mathematical Physics 47 Letters in Mathematical Physics 47 Physics of Fluids, A 47 Acta Applicandae Mathematicae 46 Proceedings of the American Mathematical Society 44 Journal of Mathematical Biology 43 Journal of Approximation Theory 43 Journal of Functional Analysis 42 Bulletin of Mathematical Biology 42 Journal of Algebra 42 Mathematics and Computers in Simulation 42 Abstract and Applied Analysis 41 Discrete Applied Mathematics 41 Applied Numerical Mathematics 40 European Journal of Applied Mathematics 40 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 39 Computers and Fluids 38 Mathematical and Computer Modelling 38 Journal of Scientific Computing 38 SIAM Journal on Mathematical Analysis 38 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 36 Mathematical Biosciences 36 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 34 Journal of Soviet Mathematics 34 Quarterly of Applied Mathematics 34 Communications on Pure and Applied Analysis 33 Advances in Difference Equations 32 Theoretical and Computational Fluid Dynamics 32 Applied Mathematics and Mechanics. (English Edition) 32 Journal of Mathematical Sciences (New York) 32 Journal of Physics A: Mathematical and Theoretical 31 Mathematical Problems in Engineering 31 Nonlinear Analysis. Theory, Methods & Applications 30 Applied Mathematical Modelling 30 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 30 Journal of Dynamics and Differential Equations 29 Fluid Dynamics 29 SIAM Journal on Applied Mathematics 28 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 28 Journal of Symbolic Computation 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Journal of Difference Equations and Applications 27 Geophysical and Astrophysical Fluid Dynamics 27 International Journal for Numerical Methods in Fluids 27 Mathematics of Computation 27 Numerical Algorithms 26 Theoretical Computer Science 26 Journal of Algebraic Combinatorics 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 The Electronic Journal of Combinatorics 24 Functional Analysis and its Applications 24 Acta Mathematicae Applicatae Sinica. English Series 24 Communications in Partial Differential Equations 23 Linear and Multilinear Algebra 22 International Journal of Engineering Science ...and 590 more Journals
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#### Cited in 63 Fields

 4,963 Partial differential equations (35-XX) 3,337 Fluid mechanics (76-XX) 1,839 Dynamical systems and ergodic theory (37-XX) 1,038 Numerical analysis (65-XX) 994 Ordinary differential equations (34-XX) 936 Combinatorics (05-XX) 570 Biology and other natural sciences (92-XX) 424 Mechanics of deformable solids (74-XX) 385 Quantum theory (81-XX) 379 Special functions (33-XX) 253 Geophysics (86-XX) 249 Linear and multilinear algebra; matrix theory (15-XX) 248 Difference and functional equations (39-XX) 234 Statistical mechanics, structure of matter (82-XX) 219 Mechanics of particles and systems (70-XX) 214 Operator theory (47-XX) 214 Global analysis, analysis on manifolds (58-XX) 212 Differential geometry (53-XX) 212 Computer science (68-XX) 203 Number theory (11-XX) 201 Probability theory and stochastic processes (60-XX) 185 Systems theory; control (93-XX) 181 Optics, electromagnetic theory (78-XX) 175 Algebraic geometry (14-XX) 163 Approximations and expansions (41-XX) 159 Classical thermodynamics, heat transfer (80-XX) 154 Harmonic analysis on Euclidean spaces (42-XX) 145 Order, lattices, ordered algebraic structures (06-XX) 138 Associative rings and algebras (16-XX) 134 Nonassociative rings and algebras (17-XX) 129 Integral equations (45-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 122 Group theory and generalizations (20-XX) 112 Convex and discrete geometry (52-XX) 109 Commutative algebra (13-XX) 102 Functions of a complex variable (30-XX) 101 Functional analysis (46-XX) 78 Real functions (26-XX) 72 Information and communication theory, circuits (94-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Geometry (51-XX) 59 Operations research, mathematical programming (90-XX) 49 Topological groups, Lie groups (22-XX) 47 Manifolds and cell complexes (57-XX) 47 Relativity and gravitational theory (83-XX) 41 Integral transforms, operational calculus (44-XX) 40 Statistics (62-XX) 33 Mathematical logic and foundations (03-XX) 30 Algebraic topology (55-XX) 29 Category theory; homological algebra (18-XX) 26 History and biography (01-XX) 24 Field theory and polynomials (12-XX) 24 Astronomy and astrophysics (85-XX) 19 General and overarching topics; collections (00-XX) 18 Measure and integration (28-XX) 17 Potential theory (31-XX) 17 Several complex variables and analytic spaces (32-XX) 11 General topology (54-XX) 9 Sequences, series, summability (40-XX) 5 Abstract harmonic analysis (43-XX) 4 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX) 2 Mathematics education (97-XX)